^1 The standard enthalpy and standard entropy of decomposition of N ₂ O ₄ to NO ₂ are 55.0 ~kJ ~mol ⁻¹ and 175.0 ~J / K / mol respectively. The standard free energy change for this reaction at 25^ C in J mol ⁻¹ is ______ (Nearest integer)

Step-by-step solution

aligned & H _ rxn ^ o =55 ~kJ / mol , T =298 ~K & ~S _ rxn ^ o =175 ~J / mol & G _ rxn ^ o = H _ rxn ^ o - T S _ rxn ^ & G _ rxn ^ o =55000 ~J / mol -298 175 ~J / mol & G _ rxn ^ o =55000-52150 & G _ rxn ^ o =2850 ~J / mol aligned